PROBLEM SOLVING AND DATA ANALYSIS ON SAT WORKSHEET

Problem 1 :

Find three consecutive odd integers such that the sum of the first two is four times the third.

A) 3, 5, 7           B) -3, -1, 1     C) -11, -9, -7

D) -7, -5, -3       E) 9, 11, 13

Solution

Problem 2 :

Find the shortest side of a triangle whose perimeter is 64, if the ratio of two of its sides is 4: 3 and the third side is 20 less than the sum of the other two.

A) 6     B) 18       C) 9       D) 10      E) 12

Solution

Problem 3:

A purse contains 16 coins in dimes and quarters. If the value of the coins is $2.50, how many dimes are there?

A) 6      B) 8      C) 9      D) 10      E) 12

Solution

Problem 4 :

Danny drove to Yosemite Park from his home at 60 miles per hour. On his trip home, his rate was 10 miles per hour less and the trip took one hour longer. How far is his home from the park?

A) 65 mi      B) 100 mi     C) 200 mi

D) 280 mi    E) 300 mi

Solution

Problem 5 :

Two cars leave a restaurant at the same time and travel along a straight highway in opposite directions. At the end of three hours they are 300 miles apart. Find the rate of the slower car, if one car travels at a rate 20 miles per hour faster than the other.

A) 30     B) 40     C) 50     D) 55     E) 60

Solution

Problem 6 :

The numerator of a fraction is one half the denominator. If the numerator is increased by 2 and the denominator is decreased by 2, the value of the fraction is 2/3. Find the numerator of the original fraction.

A) 4    B) 8     C) 10     D) 12     E) 20

Solution

Problem 7 :

Darren can mow the lawn in 20 minutes, while Valerie needs 30 minutes to do the same job. How many minutes will it take them to mow the lawn if they work together?

A) 10     B) 8      C) 16      D) 6 1/2     E) 12

Solution

Problem 8 :

Meredith is 3 times as old as Adam. Six years from now, she will be twice as old as Adam will be then. How old is Adam now?

A) 6     B) 12    C) 18     D) 20    E) 24

Solution

Problem 9 :

Mr. Barry invested some money at 5% and an amount half as great at 4%. His total annual income from both investments was $210. Find the amount invested at 4%.

A) $1000    B) $1500     C) $2000      D) $2500    E) $3000

Solution